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Description
  • Knowledge spaces represent a framework for assessment of knowledge with solid theoretical foundations, methodology, and practical applications. The underlying assumption in knowledge spaces is that a knowledge state of an individual is represented by a set of items which the individual has mastered. In this paper, we propose an extension of the theory of knowledge spaces which accounts for gradedness of knowledge states. Namely, we assume that a knowledge state is represented by a fuzzy (graded) set with degrees representing levels to which an individual has mastered the items. If 0 and 1 are the only degrees, our approach coincides with that of ordinary knowledge spaces. We develop basic concepts and results in the graded setting including bases of graded knowledge states and their computation and a logic of partial failure with its completeness theorem. The main aim of this paper is to demonstrate mathematical and computational feasibility of knowledge spaces with graded knowledge states.
  • Knowledge spaces represent a framework for assessment of knowledge with solid theoretical foundations, methodology, and practical applications. The underlying assumption in knowledge spaces is that a knowledge state of an individual is represented by a set of items which the individual has mastered. In this paper, we propose an extension of the theory of knowledge spaces which accounts for gradedness of knowledge states. Namely, we assume that a knowledge state is represented by a fuzzy (graded) set with degrees representing levels to which an individual has mastered the items. If 0 and 1 are the only degrees, our approach coincides with that of ordinary knowledge spaces. We develop basic concepts and results in the graded setting including bases of graded knowledge states and their computation and a logic of partial failure with its completeness theorem. The main aim of this paper is to demonstrate mathematical and computational feasibility of knowledge spaces with graded knowledge states. (en)
Title
  • Knowledge spaces with graded knowledge states
  • Knowledge spaces with graded knowledge states (en)
skos:prefLabel
  • Knowledge spaces with graded knowledge states
  • Knowledge spaces with graded knowledge states (en)
skos:notation
  • RIV/61989592:15310/11:10216424!RIV12-MSM-15310___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP103/10/1056), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 207592
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/11:10216424
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Knowledge space, knowledge state, residuated lattice (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E217B561498E]
http://linked.open...i/riv/nazevZdroje
  • Information Sciences
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 181
http://linked.open...iv/tvurceVysledku
  • Bartl, Eduard
  • Bělohlávek, Radim
http://linked.open...ain/vavai/riv/wos
  • 000287463700002
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-0255
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
is http://linked.open...avai/riv/vysledek of
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